Find a formula for the nth partial sum of the telescoping series below and use it to determine if the series converges or diverges. If the series converges, find its sum. ∞0 n=1 (√n+8-√n+7) A formula for the kth term of the sequence of partial sums is SK = (Type an exact answer, using radicals as needed.)
Find a formula for the nth partial sum of the telescoping series below and use it to determine if the series converges or diverges. If the series converges, find its sum. ∞0 n=1 (√n+8-√n+7) A formula for the kth term of the sequence of partial sums is SK = (Type an exact answer, using radicals as needed.)
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 23RE: Use the formula for the sum of the first ii terms of an arithmetic series to find the sum of the...
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Transcribed Image Text:Find a formula for the nth partial sum of the telescoping series below and use it to determine if the series converges or diverges. If the series converges, find its sum.
∞
Σ(√n+8-√√n+7)
n=1
A formula for the kth term of the sequence of partial sums is Sk=
(Type an exact answer, using radicals as needed.)
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